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likoan [24]
2 years ago
14

Y=-3+1/2x

Mathematics
1 answer:
yarga [219]2 years ago
7 0

Answer:

(2, - 2 )

Step-by-step explanation:

y = - 3 + \frac{1}{2} x → (1)

3x + 2y = 2 → (2)

Substitute y = - 3 + \frac{1}{2} x into (2)

3x + 2(- 3 + \frac{1}{2} x) = 2 ← distribute parenthesis and simplify left side

3x - 6 + x = 2

4x - 6 = 2 ( add 6 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Substitute x = 2 into (1)

y = - 3 + \frac{1}{2} (2) = - 3 + 1 = - 2

solution is (2, - 2 )

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Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

And we have:

(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
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3 years ago
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aleksklad [387]

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9+7=16, 16 is less than 18.

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Step-by-step explanation:

Equation of given line is:

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Thus, the slope of required line is 2.

6 0
3 years ago
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